Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Mathematics in Practice and Theory》 2007-01
Add to Favorite Get Latest Update

The Nontrivial Solutions of a Sort of Critical Biharmonic Problem

ZHANG Yu-ling~(1,2), LIU Zuan-wu~1, SUN Juan-juna~1(1.Information Engineering University,Institute of Science,Zhengzhou Henan 450001,China)(2.Shengda College of Economics and Trade Management of Zhengzhou University,Zhengzhou Henan 451191,China)  
The existence of biharmonic problem with sub-critical exponent and singular coefficient Δ~2u-μu[]|x|~s=f(x)u~(q-1)+u~(p-1) are proved by using the mountain pass theorem and Sobolev—Hardy inequality.
【Fund】: 国家自然科学基金(40374001)
【CateGory Index】: O174.2
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 2 Hits
1 Yao Yang-xin 1 Xie Chao-dong 2 (1. Dept. of Applied Mathematics, South China Univ. of Tech., Guangzhou 510640, China; 2. Dept. of Information, Guizhou Institute for Nationalities, Guiyang 550025, China);Existence of Positive Solution for a Singular Coefficients Elliptic Equation Involving Critical Exponent[J];Journal of South China University of Technology(Natural Science);2003-08
2 Yao Yang-xin 1 Wang Jian-xia 2 (1.Dept. of Applied Mathematics, South China Univ. of Tech., Guangzhou 510640, China; 2.Dept. of Mathematics, Guangzhou University, Guangzhou 510405, China);Existence of Nontrivial Solution for a Semilinear Elliptic Equation[J];Journal of South China University of Technology(Natural Science);2003-09
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Gao Haiyin Weng Shiyou Wang Feng Chen Renzhao (Department of Mathematics, Northeast Normal University,Changchun,130024);Regularity of Solution for Mixed Problem for a Class of Elliptic Equations[J];JOURNAL OF NORTHEAST NORMAL UNIVERSITY (NATURAL SCIENCE EDITION);1998-03
2 LI Jin~1 XIA Mao-hui~1 (1.College of Sciences,Yanshan University,Qinghuangdao,Hebei 066004,China);RKP meshless method to slove problem of cantaever with concentrated force[J];Journal of Yanshan University;2007-04
3 GUO HuaLI Yue ,YANG Bao jun ,LIU Cai ,YANG Dong ,ZHANG Jing(Jili University, Changchun 130026, China);The estimation formula of the cauchy problem solution about the linearequation corresponding then dimensional norlinear wave equation[J];Progress In Geophysics;2003-01
4 LUO ZHI-CAI; NING JIN-SHENG; CHAO DING-BO.(Laboratory for Modern Geodynamics,WTUSM,39 Luoyu Road, Wuhan 430070, China);THE QUASI-SOLUTION ON GRAVITY-GRAVITY GRADIENT BOUNDARY VALUE PROBLEM[J];Chinese Journal of Geophysics;1996-S1
5 LI Jian-quan~1 CHEN Ren-zhao~2 (1-School of Mathematics Science,South China Normal University,Guangzhou 510631; 2-School of Mathematics Science,Northeast Normal University,Changchun 130024);Non-linear Problem of the Fertility Rate Control for Age-dependent Population Diffusion System with Distributed Observation[J];Chinese Journal of Engineering Mathematics;2006-05
6 Lian Qintang (Office of Scientific Research,Guangzhou University,Guangzhou,510091);THE APPROXIMATE SELATIONS FOR SOME BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS OF POISSON'S EQUATION[J];;1996-03
7 Wu Songping(Beijing University);PENALTY FACTORS IN PENALTY FUNCTION METHOD FOR STATIONARY NAVIER-STOKES EQUATIONS[J];Numerical Mathematics A Journal of Chinese Universities;1986-03
8 Wen xizhong Li Ronghua( Jilin University );AN ERROR ESTIMATE OF BEM TO BIHARMONIC EQUATION[J];Numerical Mathematics A Journal of Chinese Universities;1988-04
9 Li Chenliang, Zeng Jinping (Hunan University);AN ADDITIVE GENERALIZED SCHWARTZ METHOD FOR SOLVING VARIATIONAL IN EQUALITIES WITH NONLINEAR SOURCE TERMS[J];NUMERICAL MATHEMATIES A JOURNAL OF CHINESE UNIVERSITIES;1999-03
10 Xiong Yueshan (Department of Applied Mathematics and System Engineering);The Hybrid Spectral-Difference Schemes for the Three-Dimensional Vorticity Equation with One Periodic Direction in Space and it's Error Estimation[J];Journal of National University of Defense Technology;1990-01
China Proceedings of conference Full-text Database 1 Hits
1 Lu Yao Department of Mathematics,Faculty of Science,Yanshan University,Qinghuangdao,066004;Characteristic Finite Element Analysis for 2D Nonlinear Convection-Dominated DiffusionProblem[A];[C];2008
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved